26. Table of descriptive statistics on diabetes initiative participants. Which characteristic significantly differs at 5% level?

Answer: C

Explanation:

Mean age significantly differs at 5% level

The characteristic that significantly differs at the 5% level among diabetes initiative participants is the mean age. This indicates that there is a statistically significant difference in the ages of the participants involved in the initiative.

A) Mean BMI

Mean BMI does not significantly differ at the 5% level, suggesting that the body mass index among participants is relatively consistent and does not vary enough to be considered statistically significant in this context.

B) Mean annual income

Mean annual income also fails to show a significant difference at the 5% level. This implies that the income levels of the participants do not vary enough to draw a meaningful conclusion regarding their impact on the diabetes initiative.

C) Mean age

Mean age is the only characteristic that shows a significant difference at the 5% level among participants, indicating that variations in age may play a crucial role in understanding the outcomes of the diabetes initiative and warrant further investigation.

D) Mean educational level

Mean educational level does not exhibit a significant difference at the 5% level, indicating that the education levels among the participants are similar enough that they do not significantly influence the results of the diabetes initiative.

Conclusion

The mean age is the characteristic that significantly differs at the 5% level, demonstrating its importance in analyzing the diabetes initiative's effects. In contrast, the other options, mean BMI, mean annual income, and mean educational level, do not show significant differences, which suggests they may not be as relevant to the outcomes being studied.